My daughter is 7 and we've been going to Disney since she was 5. DHS is her favorite park (as she told me last night, since we're leaving on a short trip tomorrow). Here's what she likes to do:
Star Tours (as many times as possible--hopefully FP+ doesn't mess with this ride too much!)
Jedi Training
Characterpalooza
Beauty & the Beast
All the Animation Building activities
Characters--Jake, Sofia, Wreck It Ralph & Vanellope, Mike & Sully, Mickey, Minnie
Streets of America
Muppets
Disney Junior
What she hates: Fantasmic. And she refuses to ride Tower of Terror. None of us have ever been on it, because we all refuse to ride it. **blush**
Writing it out, it doesn't seem like much, but it really is. The shows are long and take up a lot of time. If your child is arty, they can spend hours in the Animation Building. Characterpalooza offers an opportunity to explore the Streets of America, which she loves doing. The last time we were at Disney, last October, we spent 13 hours straight at DHS, with no break, from a pre-opening ADR to close. I don't recommend doing that, but I think some kids are just wired to love DHS, and I have two of them (the 7 year old girl and a 4 year old boy).
We leave tomorrow and the kids are already talking about Star Tours. It's such a great ride.